Spontaneous R-Parity Breaking in SUSY Models

TL;DR

This paper explores a mechanism for spontaneous R-parity breaking in supersymmetric models with an extra gauge symmetry, enabling neutrino mass generation and potential collider signals, while maintaining a realistic spectrum.

Contribution

It introduces a novel spontaneous R-parity breaking mechanism via right-handed sneutrino VEVs in extended SUSY models with an additional U(1) symmetry.

Findings

R-parity is broken by right-handed sneutrino VEVs proportional to soft SUSY masses

The model allows for neutrino mass generation and realistic particle spectra

Potential collider signals and implications for proton decay and dark matter are discussed

Abstract

We investigate a mechanism for spontaneous R-parity breaking in a class of extensions of the minimal supersymmetric standard model with an extra Abelian gauge symmetry which is a linear combination of B-L and weak hypercharge. Both U(1)_X and R-parity are broken by the vacuum expectation value of the right-handed sneutrinos which is proportional to the soft SUSY masses. In these models the mechanism for spontaneous R-parity violation can be realized even with positive soft masses. In this context one has a realistic mechanism for generating neutrino masses as well as a realistic spectrum. We briefly discuss the possible collider signals which could be used to test the theory, the contributions for proton decay and the possibility of a gravitino as a dark matter candidate.